Consider the given function \(𝑓(𝑥)\). \(f(x) =\begin{cases} ax + b, &…

Consider the given function $𝑓(𝑥)$.

$f(x) =\begin{cases} ax + b, & \text{for } x < 1 \\x^3 + x^2 + 1, & \text{for } x \geq 1\end{cases}$

If the function is differentiable everywhere, the value of 𝑏 must be ________. (rounded off to one decimal place)